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Finding the Fourth Proportional to 299,380.20, 413,001.48 and 202,617.96

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Solution

The fourth proportional to 299,380.20, 413,001.48 and 202,617.96 is: 279,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,380.20 : 413,001.48 = 202,617.96 : x
  2. Step 2: Convert to fraction form
    299,380.20/413,001.48 = 202,617.96/x
  3. Step 3: Cross multiply
    299,380.20x = 413,001.48 × 202,617.96
  4. Step 4: Simplify right side
    299,380.20x = 83,681,517,354.58
  5. Step 5: Solve for x
    x = 83,681,517,354.58/299,380.20
  6. Step 6: Final answer
    x = 279,515.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.